Heat 2 Tbsp of olive oil in a large skillet over medium/high heat. Add chicken pieces, saute them until golden and cooked through.
Next, add 1 diced onion to the skillet with chicken and saute about 3 minutes.
Add grated carrots to the skillet and saute 2 more minutes.
Add 2 Tbsp of butter and 1/4 cup ketchup and mix everything together.
Once the butter melts, add 2 cups of rinsed rice to the skillet. Sprinkle with 1 tsp of salt, 1/8 tsp of black pepper, 1/8 tsp of Cayenne pepper and mix everything together.
Transfer mixture to the rice cooker, add 2 1/2 cups of water and season more to taste if desired. Set the rice cooker to "White rice". - OR - If you don't have a rice cooker, you can put everything into a pot with a tight-fitting lid and cook over medium/low heat for about 20 minutes, or until all of the water is absorbed.
Notes
If you don't rinse your rice, you will require more water. Left over plov is always a good thing; just saute it up. I think its even better reheated in a frying pan. It gives it a certain crunch. I recommend to use Jasmine rice.